A Note on Decoding of Superimposed Codes

Tayuan Huang and Chih-Wen Weng ()
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Tayuan Huang: National Chiao Tung University
Chih-Wen Weng: National Chiao Tung University

Journal of Combinatorial Optimization, 2003, vol. 7, issue 4, No 6, 384 pages

Abstract: Abstract A superimposed code with general distance D can be used to construct a non-adaptive pooling design. It can then be used to identify a few unknown positives from a large set of items by associating naturally an outcome vector u. A simple method for decoding the outcome vector u is given whenever there are at most $$\frac{{D - 1}}{2}$$ errors occuring in the outcome vector u. Moreover, another simple method of detecting whether there is any error occuring in the outcome vector u is also given whenever there are at most D − 1 errors in u. Our method is a generalization of the classical result of Kautz and Singleton (Nonadaptive binary superimposed codes, IEEE Trans. Inform. Theory, vol. 10, pp. 363–377, 1964).

Keywords: superimposed; codes (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/B:JOCO.0000017386.09330.70

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